Question

Can someone do and give me the work for these 3 problems? please.

Answer 1

b. (-3, -2)

Explanation:

We have the following system of equations:

`\begin{gathered} -5x+5y=5\rightarrow5y=5+5x\rightarrow y=x+1\text{ (1)} \\ \: 6x-3y=-12\text{ (2)} \end{gathered}`

We replace equation (1) in equation (2):

`\begin{gathered} 6x-3\cdot(x+1)=-12 \\ 6x-3x-3=-12 \\ 3x=-12+3 \\ x=(-9)/(3) \\ x=-3 \end{gathered}`

Now, we calculate the value of y, we substitute in (1):

`\begin{gathered} y=-3+1 \\ y=-2 \end{gathered}`